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Finding the Fourth Proportional to 24,246.32, 36,369.48 and 6,716.15

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Solution

The fourth proportional to 24,246.32, 36,369.48 and 6,716.15 is: 10,074.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,246.32 : 36,369.48 = 6,716.15 : x
  2. Step 2: Convert to fraction form
    24,246.32/36,369.48 = 6,716.15/x
  3. Step 3: Cross multiply
    24,246.32x = 36,369.48 × 6,716.15
  4. Step 4: Simplify right side
    24,246.32x = 244,262,990.82
  5. Step 5: Solve for x
    x = 244,262,990.82/24,246.32
  6. Step 6: Final answer
    x = 10,074.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.